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Finding the Third Proportional to 184,140 and 278,700

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Solution

The third proportional to 184,140 and 278,700 is: 421,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,140 : 278,700 = 278,700 : x
  2. Step 2: Convert to fraction form
    184,140/278,700 = 278,700/x
  3. Step 3: Cross multiply
    184,140x = 278,700 × 278,700
  4. Step 4: Simplify right side
    184,140x = 77,673,690,000
  5. Step 5: Solve for x
    x = 77,673,690,000/184,140
  6. Step 6: Final answer
    x = 421,818.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.